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Finding the Third Proportional to 760,320 and 1,177,152

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Solution

The third proportional to 760,320 and 1,177,152 is: 1,822,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,320 : 1,177,152 = 1,177,152 : x
  2. Step 2: Convert to fraction form
    760,320/1,177,152 = 1,177,152/x
  3. Step 3: Cross multiply
    760,320x = 1,177,152 × 1,177,152
  4. Step 4: Simplify right side
    760,320x = 1,385,686,831,104
  5. Step 5: Solve for x
    x = 1,385,686,831,104/760,320
  6. Step 6: Final answer
    x = 1,822,504.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.